复合衰落信道下分布式MIMO系统下行中断概率分析

doi:10.3969/j.issn.1000-436x.2014.06.021

摘要/Abstract

摘要：

针对复合衰落信道模型下分布式MIMO系统下行中断概率问题，首先建立了一个综合考虑Nakagami-m衰落、路径损耗和阴影衰落的复合衰落信道模型；然后针对存在中心基站的分布式MIMO系统，提出了一种更符合实际应用环境的准均匀小区移动台分布模型；接着利用矩生成函数、Gauss-Hermite积分公式和Simpson积分公式等数学手段推导了任意移动台分布下、单小区内系统平均下行中断概率闭合表达式；最后将准均匀移动台分布模型应用到该中断概率闭合表达式，并通过 MATLAB 仿真证明了所推导得到的闭合表达式及小区分布模型的合理性。

关键词: 分布式MIMO系统, 复合衰落信道, 中断概率, 移动台分布

Abstract:

The downlink outage probability of the distributed MIMO systems over a composite channel was discussed. Firstly, a composite fading channel was established by integrating Nakagami-m fading, path loss, and lognormal shad-owing. According to the distributed MIMO system with a center-located base station (BS), a quasi-uniform mobile station (MS) distribution model was proposed, which is more suitable for a real communication environment. Next, an approxi-mate analytical expression of average downlink outage probability of the system with arbitrary MS distribution was de-rived through using mathematical methods such as moment generating function, Gauss-Hermite integral, composite Simpson's rule and so on. Finally, by taking the proposed MS distribution model into account, the derived closed-form outage probability expression and the MS distribution were proved to be correct and reasonable by computer simulation results.

Key words: distributed MIMO system, composite channel, outage probability, MS distribution

彭文杰,李岳衡,居美艳,黄平,谭国平. 复合衰落信道下分布式MIMO系统下行中断概率分析[J]. 通信学报, 2014, 35(6): 161-169.

Wen-jie PENG,Yue-heng LI,Mei-yan JU,Ping HUANG,Guo-ping TAN. Downlink outage probability analysis of distributed MIMO systems over a composite fading channel[J]. Journal on Communications, 2014, 35(6): 161-169.

图/表 8

图1

图2

表1

仿真参数"

参数	取值
小区半径R/m	1 000
分布式基站数M_t每个基站上天线数L	71、2、3
中心基站位置(D₀,θ₀)	(0,0)
分布式基站位置(R_bs,θ_i)i=1,2,…,(M_t?1)	$(\frac{2 R}{3}, \frac{2 π i}{M_{t} - 1})$
移动台天线数M_r	1、2、3
Nakagami参数m_i	0.5、1、4
参考距离d₀/m	40
路径损耗指数β	3.5、4、4.5
信噪比门限γ_th/dB	0
Hermite多项式阶数N	20
极径节点数P	20
极角节点数Q	20

表1

图3

图4

图5

图6

图7

参考文献 17

[1]	FOSCHINI G J , GANS M J . On limits of wireless communications in a fading environment when using multiple antennas[J]. Wireless Per-sonal Communication, 1998,6(3): 311-335.
[9]	HU H , ZHANG Y , LUO J . Distributed Antenna Systems: Open Archi-tecture for Future Wireless Communications[M]. Auerbach Publica-tions, CRC Press, 2007.
[3]	ROH W , PAULRAJ A . MIMO channel capacity for the distributed antenna systems[A]. Vehicular Technology Conference[C]. Vancouver, 2002.706-709.
[4]	HAN S , WANG J , LI V O K , et al. Optimal diversity performance of space time block codes in correlated distributed MIMO channels[J]. IEEE Transaction on Wireless Communication, 2008,7(6): 2106-2118.
[5]	RONG Y , HUA Y , SWAMI A . Space-time power schedule for distrib-uted mimo links without instantaneous channel state information at the transmitting nodes[J]. IEEE Transaction on Signal Process, 2008,56(2): 686-701.
[6]	PHAM T H , NALLANATHAN A , LIANG Y C . Joint channel and frequency offset estimation in distributed MIMO flat-fading chan-nels[J]. IEEE Transaction on Wireless Communication, 2008,7(2): 648-656.
[7]	ROH W , PAULRAJ A . Outage performance of the distributed antenna systems in a composite fading channel[A]. IEEE Vehicular Technology Conference[C]. Vancouver, 2002.1520-1524.
[8]	CHEN H M , WANG J B , CHEN M . Outage performance of distrib-uted antenna systems over shadowed nakagami-m fading channels[J]. European Transaction on Telecommunications, 2009,20(5): 531-535.
[9]	CHEN H M , WANG J B , CHEN M . Downlink outage probability of distributed antenna systems over shadowed Nakagami-m fading chan-nels with antenna selection[A]. Wireless Communication and Signal Processing, Nanjing, China, 2009.1-4.
[10]	王俊波，王金元，陈华敏等. 分布式天线系统中的系统下行中断概率分析[J]. 电子学报， 2011,39(4): 785-790. WANG J B , WANG J Y , CHEN H M , et al. System downlink outage probability analysis in distributed antenna systems[J]. Acta of Elec-tronica Sinica, 2011,39(4): 785-790.
[11]	CHOI W , ANDREW J G . Downlink performance and capacity of distributed antenna systems in a multicell environment[J]. IEEE Trans Wireless Commun, 2007,6(1): 69-73.
[12]	SIMON M K , ALOUINI M S . Digital Communication over Fading Channels( 2nd ed)[M]. New York: Wiley, 2005.
[13]	GOLDSMITH A . Wireless Communication[M]. New York: Cam-bridge University Press, 2005.
[14]	GRADSHTEYN I S , RYZHIK I M . Table of Integrals, Series and Products[M]. San Diego: Academic Press, 2007.
[15]	PROAKIS J G . Digital Communications( 4th edn)[M]. McGraw-Hill Companies, Inc, 2001.
[16]	ABRAMOWITZ M , STEGUN I A . Handbook of Mathematical Func-tions with Formulas, Graphs, and Mathematical Tables (9th edn)[M].New York: Dover Publishing Company, 1970.
[17]	BURDEN R L , FAIRES J D . Numerical Analysis (7th edn)[M].Boston: PWS KENT Publishing Company, 1989.

[1]	杨正, 郑云, 余月好, 吴怡, 董志诚, 邢松. 基于自适应功率分裂的协作非正交多址接入无线携能通信网络性能分析[J]. 通信学报, 2023, 44(1): 177-188.
[2]	杨君一, 李博, 张钦宇. 基于物理层网络编码的无人机中继网络资源优化[J]. 通信学报, 2021, 42(9): 12-20.
[3]	吴宣利, 许智聪, 王禹辰, 李勇. 基于信道相关性的物理层安全性能分析[J]. 通信学报, 2021, 42(3): 65-74.
[4]	陈生海, 言小琴, 黎赛, 杨亮. 混合双跳PLC-FSO通信系统的性能分析[J]. 通信学报, 2021, 42(10): 243-250.
[5]	李陶深,宁倩丽,王哲. SWIPT-NOMA机会协作系统的优化方案[J]. 通信学报, 2020, 41(8): 141-154.
[6]	钟州,张波,戚晓慧,黄开枝. 多天线全双工中继辅助的异构蜂窝网物理层安全性能分析[J]. 通信学报, 2019, 40(5): 24-31.
[7]	马克明,陈亚军,胡鑫,黄开枝,季新生. 面向物联网无线携能通信系统的机会安全传输方案[J]. 通信学报, 2019, 40(2): 70-81.
[8]	徐纪胜,曾凡仔,李康,李勇峰. 基于WIPT的两路中继协作underlay认知无线电的性能分析[J]. 通信学报, 2019, 40(2): 129-136.
[9]	赵睿,谭星,李元健,贺玉成,李春国. 全双工加扰的非可信中继系统的渐近性能分析[J]. 通信学报, 2018, 39(9): 20-30.
[10]	李美玲,李莹,SAMI Muhaidat,董增寿,王安红,梁杰,丁丽萍. 认知协作网络中非正交多址接入技术性能研究[J]. 通信学报, 2018, 39(9): 57-66.
[11]	陈亚军,季新生,黄开枝,杨静,易鸣. 蜂窝系统中机会D2D接入的安全传输方案[J]. 通信学报, 2018, 39(1): 126-136.
[12]	高锐锋,吉晓东,包志华,张士兵,徐晨. 多中继去噪重传物理层网络编码自适应分集策略[J]. 通信学报, 2017, 38(2): 81-93.
[13]	李美玲,董增寿,王钢飞,路兆铭. 基于多窃听协作的最佳中继安全可靠性能研究[J]. 通信学报, 2017, 38(10): 71-80.
[14]	陈亚军,季新生,黄开枝,康小磊. 基于安全中断概率的D2D安全接入策略[J]. 通信学报, 2016, 37(8): 86-94.
[15]	冀保峰,宋康,王毅,黄永明,杨绿溪. 联合网络编码和中继选择的协作传输方案及其性能分析[J]. 通信学报, 2015, 36(3): 41-51.